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Finding the Fourth Proportional to 9,291.42, 12,822.12 and 5,099.58

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Solution

The fourth proportional to 9,291.42, 12,822.12 and 5,099.58 is: 7,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.42 : 12,822.12 = 5,099.58 : x
  2. Step 2: Convert to fraction form
    9,291.42/12,822.12 = 5,099.58/x
  3. Step 3: Cross multiply
    9,291.42x = 12,822.12 × 5,099.58
  4. Step 4: Simplify right side
    9,291.42x = 65,387,426.71
  5. Step 5: Solve for x
    x = 65,387,426.71/9,291.42
  6. Step 6: Final answer
    x = 7,037.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.